λ
Harmonic Matrix

2,208,027

3 × 491 × 1499
Deficient Odd Composite

2,208,027 has digital root 3. The neighboring primes are 2207993 and 2208053; its proper-divisor sum differs from the starting integer by -1,464,054.

Prime Factor Structure

Factorization String 3 × 491 × 1499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,952,000
Proper Divisor Sum 743,973
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2207993 ← → #2208053

Radix Representation

Decimal 2208027
Binary 1000011011000100011011 (22 bits)
Octal 0o10330433
Hexadecimal 0x21B11B

Divisor Catalog (8)

1 3 491 1,473 1,499 4,497 736,009 2,208,027

Collatz Trajectory (285 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,208,027 6,624,082 3,312,041 9,936,124 4,968,062 2,484,031 7,452,094 3,726,047 11,178,142 5,589,071 16,767,214 8,383,607 25,150,822 12,575,411 37,726,234 18,863,117 56,589,352 28,294,676 14,147,338 7,073,669 21,221,008 10,610,504 5,305,252 2,652,626 1,326,313 3,978,940 1,989,470 994,735 2,984,206 1,492,103 4,476,310 2,238,155 6,714,466 3,357,233 10,071,700 5,035,850 2,517,925 7,553,776 3,776,888 1,888,444 944,222 472,111 1,416,334 708,167 2,124,502 1,062,251 3,186,754 1,593,377 4,780,132 2,390,066 1,195,033 3,585,100 1,792,550 896,275 2,688,826 1,344,413 4,033,240 2,016,620 1,008,310 504,155

More profiles

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